List of publications and preprints

• S. Looi. Unbounded symbols, heat flow, and Toeplitz operators. arXiv.

• S. Looi. Spectral stability and local energy decay. Link.

• S. Looi, D. Sher. The heat trace for domains with curved corners. arXiv.

• B. Dodson, S. Looi. Quantitative Scattering for the Energy-Critical Wave Equation on Asymptotically Flat Spacetimes. arXiv.

• S. Looi, H. Xiong. Asymptotic expansions for semilinear waves on asymptotically flat spacetimes. arXiv.

• S. Looi. Sharp Pointwise Decay for Quasilinear Waves on Black Hole Spacetimes. arXiv.

• S. Looi. Quantitative Decay for Nonlinear Wave Equations on Dynamic Spacetimes, with Sharpness for Power-Type Nonlinearities. arXiv.

• S. Looi. Sharp Pointwise Decay for the Energy-Critical Wave Equation on Dynamical, Asymptotically Flat Spacetimes. arXiv.

• S. Looi, M. Tohaneanu. Global existence and pointwise decay for nonlinear waves under the null condition, Dyn. Partial Differ. Equ. 23 (2026), no. 3, 225–268. arXiv.

• S. Looi. Pointwise decay for the wave equation on nonstationary spacetimes. J. Math. Anal. Appl. arXiv:2105.02865.

• S. Looi, M. Tohaneanu. Scattering for critical wave equations with variable coefficients. Proc. Edinb. Math. Soc. 64(2), 298–316 (2021). arXiv.

• S. Looi, E. Sussman. Asymptotics in all regimes for the Schrödinger equation with time-independent coefficients. arXiv.

• P. Isett, S. Looi. A proof of Onsager's Conjecture for the SQG equation. arXiv.

• (with coauthors) AI and Polynomial Inequalities

• Mathematical Datasheets for Datasets. S. Frieder, S. Looi, K. M. Collins, T. Lukasiewcz. Link.

• (with coauthors) AI Impact on Human Proof Formalization Workflows, accepted at NeurIPS 2025.

• (with coauthors) Humanity's Last Exam. arXiv.

• Data for Mathematical Copilots: Better Ways of Presenting Proofs for Machine Learning. arXiv. S. Frieder, J. Bayer, S. Looi, J. Loader, J. Berner, K. M. Collins, A. Juhász, F. Ruehle, S. Welleck, G. Poesia, R.-R. Griffiths, A. Weller, A. Goyal, T. Lukasiewicz, K. Buzzard, and T. Gowers

• What's the Magic Word? A Control Theory of LLM Prompting. arXiv. A. Bhargava, S. Looi, C. Witkowski, M. Thomson

• S. Looi. Some problems in quasilinear and damped wave equations. Honors Thesis, UC Berkeley (2017).